Calculate the absolute value of numbers or equations with the absolute value calculator, ignoring whether it’s a positive or negative number sign. It also provides you with step-by-step calculations of absolute values along with a graphical representation and number lines.

## What are Absolute Values?

The absolute value of a number is the distance from that number to zero, Ignoring its sign. This distance represents the size or magnitude of the number.

### For Example:

**Positive Numbers:** The absolute value of 5 is 5, because the distance from 5 to zero is 5, regardless of its positive sign.

**Negative Numbers:** The absolute value of -3 is also 3, because the distance from -3 to zero is 3, even though it's in the negative direction.

## How do I Solve for Absolute Value?

Let’s say, you have the equation: |-8| + |-15|.

Here is how you can solve it step by step:

The absolute value of -8 is 8, as it ignores the negative sign and gives the __distance__ from zero.

Similarly, the absolute value of -15 is 15.

Now, add these values together: 8 + 15 = 23.

## How To Use Absolute Value Calculator?

- Select what you want to calculate the absolute value for (Either Number or Equation)
- Enter the value in the designated field
- Click the Calculate button

**Results:**

- You can have your absolute value answer directly and also the step-by-step procedure to calculate the given answer
- Moreover, if you need to represent your absolute value on a number line or a graphical plot, the absolute value equations calculator also presents the solution in both manners

## Comparison of Positive vs. Negative Absolute Numbers:

Absolute Value Examples | ||
---|---|---|

Number (x) | Absolute Value (|x|) | Example Scenario |

Positive Numbers | ||

5 | 5 | Distance traveled 5 steps forward from zero. |

12.8 | 12.8 | Height of a building 12.8 meters above ground. |

1/3 | 1/3 | Time remaining on a timer, 1/3 of the way to completion. |

Negative Numbers | ||

-3 | 3 | Temperature 3 degrees below zero. |

-7.5 | 7.5 | When zero represents no debt, you're currently 7.5 units away from having a zero balance. |

-1/4 | 1/4 | Distance traveled 1/4 of a circle counter-clockwise from zero. |

Zero | ||

0 | 0 | Starting point on a number line, no distance from zero. |